FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1990392078> ?p ?o ?g. }

• W1990392078 abstract "For a positive integer <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper N> <mml:semantics> <mml:mi>N</mml:mi> <mml:annotation encoding=application/x-tex>N</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, a set <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper B> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>B</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathcal {B}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of integers from <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=StartSet 0 comma 1 comma ellipsis comma upper N minus 1 EndSet> <mml:semantics> <mml:mrow> <mml:mo fence=false stretchy=false>{</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mo>…<!-- … --></mml:mo> <mml:mo>,</mml:mo> <mml:mi>N</mml:mi> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> <mml:mo fence=false stretchy=false>}</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>{0,1,dots ,N-1}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is called an additive <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-basis for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper N> <mml:semantics> <mml:mi>N</mml:mi> <mml:annotation encoding=application/x-tex>N</mml:annotation> </mml:semantics> </mml:math> </inline-formula> if every integer <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n element-of StartSet 0 comma 1 comma ellipsis comma upper N minus 1 EndSet> <mml:semantics> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>∈<!-- ∈ --></mml:mo> <mml:mo fence=false stretchy=false>{</mml:mo> <mml:mn>0</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1</mml:mn> <mml:mo>,</mml:mo> <mml:mo>…<!-- … --></mml:mo> <mml:mo>,</mml:mo> <mml:mi>N</mml:mi> <mml:mo>−<!-- − --></mml:mo> <mml:mn>1</mml:mn> <mml:mo fence=false stretchy=false>}</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>nin {0,1,dots ,N-1}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> may be represented as the sum of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula> elements of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper B> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>B</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathcal {B}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We discuss the methods used to estimate the minimal size of an additive <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-basis for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper N> <mml:semantics> <mml:mi>N</mml:mi> <mml:annotation encoding=application/x-tex>N</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We provide new examples to enrich this survey, which give good bounds. For instance, we slightly improve on the current record, from <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=0.46972> <mml:semantics> <mml:mn>0.46972</mml:mn> <mml:annotation encoding=application/x-tex>0.46972</mml:annotation> </mml:semantics> </mml:math> </inline-formula> to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=0.46906> <mml:semantics> <mml:mn>0.46906</mml:mn> <mml:annotation encoding=application/x-tex>0.46906</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
• W1990392078 created "2016-06-24" @default.
• W1990392078 creator A5007711612 @default.
• W1990392078 date "2014-07-17" @default.
• W1990392078 modified "2023-10-03" @default.
• W1990392078 title "On finite additive 2-bases" @default.
• W1990392078 cites W1020907628 @default.
• W1990392078 cites W1964578625 @default.
• W1990392078 cites W1967909233 @default.
• W1990392078 cites W2056898595 @default.
• W1990392078 cites W2070175665 @default.
• W1990392078 cites W2070979794 @default.
• W1990392078 cites W4243773497 @default.
• W1990392078 doi "https://doi.org/10.1090/s0002-9947-2014-06357-5" @default.
• W1990392078 hasPublicationYear "2014" @default.
• W1990392078 type Work @default.
• W1990392078 sameAs 1990392078 @default.
• W1990392078 citedByCount "3" @default.
• W1990392078 countsByYear W19903920782015 @default.
• W1990392078 countsByYear W19903920782016 @default.
• W1990392078 crossrefType "journal-article" @default.
• W1990392078 hasAuthorship W1990392078A5007711612 @default.
• W1990392078 hasBestOaLocation W19903920781 @default.
• W1990392078 hasConcept C114614502 @default.
• W1990392078 hasConcept C118615104 @default.
• W1990392078 hasConcept C12426560 @default.
• W1990392078 hasConcept C177264268 @default.
• W1990392078 hasConcept C199360897 @default.
• W1990392078 hasConcept C2524010 @default.
• W1990392078 hasConcept C33923547 @default.
• W1990392078 hasConcept C41008148 @default.
• W1990392078 hasConcept C97137487 @default.
• W1990392078 hasConceptScore W1990392078C114614502 @default.
• W1990392078 hasConceptScore W1990392078C118615104 @default.
• W1990392078 hasConceptScore W1990392078C12426560 @default.
• W1990392078 hasConceptScore W1990392078C177264268 @default.
• W1990392078 hasConceptScore W1990392078C199360897 @default.
• W1990392078 hasConceptScore W1990392078C2524010 @default.
• W1990392078 hasConceptScore W1990392078C33923547 @default.
• W1990392078 hasConceptScore W1990392078C41008148 @default.
• W1990392078 hasConceptScore W1990392078C97137487 @default.
• W1990392078 hasLocation W19903920781 @default.
• W1990392078 hasOpenAccess W1990392078 @default.
• W1990392078 hasPrimaryLocation W19903920781 @default.
• W1990392078 hasRelatedWork W1590699148 @default.
• W1990392078 hasRelatedWork W1596411971 @default.
• W1990392078 hasRelatedWork W1932410633 @default.
• W1990392078 hasRelatedWork W1967784590 @default.
• W1990392078 hasRelatedWork W1981877106 @default.
• W1990392078 hasRelatedWork W1982829920 @default.
• W1990392078 hasRelatedWork W1993435502 @default.
• W1990392078 hasRelatedWork W2002215505 @default.
• W1990392078 hasRelatedWork W2007670016 @default.
• W1990392078 hasRelatedWork W2009136691 @default.
• W1990392078 hasRelatedWork W2023794140 @default.
• W1990392078 hasRelatedWork W2027482628 @default.
• W1990392078 hasRelatedWork W2029408549 @default.
• W1990392078 hasRelatedWork W2068442839 @default.
• W1990392078 hasRelatedWork W2073930206 @default.
• W1990392078 hasRelatedWork W2080922575 @default.
• W1990392078 hasRelatedWork W2105832277 @default.
• W1990392078 hasRelatedWork W2114868255 @default.
• W1990392078 hasRelatedWork W2963019803 @default.
• W1990392078 hasRelatedWork W3098022636 @default.
• W1990392078 isParatext "false" @default.
• W1990392078 isRetracted "false" @default.
• W1990392078 magId "1990392078" @default.
• W1990392078 workType "article" @default.